New transformation formulae of quadratic 7F6-series | Zendy

Chenying Wang | Zendy; Xiaoyuan Wang | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

New transformation formulae of quadratic 7F6-series

Author(s) -

Chenying Wang,

Xiaoyuan Wang

Publication year - 2014

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1402353w

Subject(s) - mathematics , series (stratigraphy) , lemma (botany) , quadratic equation , transformation (genetics) , remainder , pure mathematics , mathematical analysis , arithmetic , geometry , paleontology , ecology , biochemistry , chemistry , poaceae , gene , biology

The modified Abel lemma on summation by parts with the "remainder term" is employed to investigate the partial sums of a quadratic $_7H_7$- series. Several unusual transformation formulae for these sums are established. As consequences, some new transformations of quadratic $_7F_6$-series are de duced, especially two of which respectively generalize two known $_3F_2(1)$-series summation formulae due to Watson and Whipple (1925).

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research